#10963: More functorial constructions
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       Reporter:  nthiery                                                |      
   Owner:  stumpc5                                                              
                        
           Type:  enhancement                                            |      
  Status:  needs_work                                                           
                        
       Priority:  major                                                  |     
Milestone:                                                                      
                         
      Component:  categories                                             |    
Resolution:                                                                     
                          
       Keywords:                                                         |   
Work issues:  Reduce startup time by 5%. Avoid "recursion depth exceeded 
(ignored)". Trivial doctest fixes.
Report Upstream:  N/A                                                    |     
Reviewers:  Simon King                                                          
                         
        Authors:  Nicolas M. ThiƩry                                      |     
Merged in:                                                                      
                         
   Dependencies:  #11224, #8327, #10193, #12895, #14516, #14722, #13589  |      
Stopgaps:                                                                       
                        
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Comment (by SimonKing):

 Replying to [comment:51 SimonKing]:
 > So, `FiniteFields().super_categories()`returns `[Fields(),
 Rings().Commutative().Finite()]`. Do you think this answer makes sense?

 Actually I'd like this answer more than the current answers.

 Without your patch:
 {{{
 sage: FiniteFields().super_categories()
 [Category of fields, Category of finite enumerated sets]
 }}}
 With your patch:
 {{{
 sage: FiniteFields().super_categories()
 [Category of fields, Category of finite monoids]
 }}}

 It seems to me that
 {{{
 sage: FiniteFields().super_categories()
 [Category of fields, Category of finite commutative rings]
 }}}
 would be more accurate.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10963#comment:52>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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